Why do we relate mass and velocity to find momentum

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SUMMARY

The relationship between mass and velocity to determine momentum is fundamental in physics, expressed by the equation p = mv. This quantity is crucial for understanding the behavior of particles and objects under force and interactions. According to Newton's Second Law, momentum is conserved in an isolated system, which is essential for various applications in both classical and modern physics. The discussion highlights that momentum can also account for variations in mass, reinforcing its significance in dynamic systems.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concept of conserved quantities in physics
  • Basic knowledge of calculus, particularly derivatives
  • Awareness of classical mechanics principles
NEXT STEPS
  • Study the implications of momentum conservation in isolated systems
  • Explore advanced applications of momentum in modern physics
  • Learn about the mathematical derivation of momentum from Newton's laws
  • Investigate the role of momentum in collisions and particle interactions
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Students of physics, educators, and anyone interested in the principles of mechanics and their applications in real-world scenarios.

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Why do we relate mass and velocity to find momentum ?

Champdx
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Because the result of multiplying m times v is a very useful quantity in physics, and can be used to help understand how particles (and other objects) behave when acted upon by forces, and when interacting with each other.
 


It can be shown to be a conserved quantity in an isolated system from Newton's Second Law. Which is really important for physics. And in modern physics it has an even broader application because it can include variations in mass. p = momentum

\sum F = ma = m\frac{d\textbf{v}}{dt} = \frac{dm\textbf{v}}{dt} = \frac{d\textbf{p}}{dt}

So an isolated system ( no net force ) has a conserved momentum or the time derivative of the product of mass and velocity is equal to zero.
 
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